1878633120 has 384 divisors, whose sum is σ = 7468070400. Its totient is φ = 386334720.

The previous prime is 1878633089. The next prime is 1878633121. The reversal of 1878633120 is 213368781.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1878633121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1790356 + ... + 1791404.

It is an arithmetic number, because the mean of its divisors is an integer number (19448100).

Almost surely, 2^1878633120 is an apocalyptic number.

1878633120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1878633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734035200).

1878633120 is an abundant number, since it is smaller than the sum of its proper divisors (5589437280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1878633120 is a wasteful number, since it uses less digits than its factorization.

1878633120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1878633120 is about 43343.2015430333. The cubic root of 1878633120 is about 1233.9019716940.

The spelling of 1878633120 in words is "one billion, eight hundred seventy-eight million, six hundred thirty-three thousand, one hundred twenty".